Ordering hair particles
Your particle setting is almost good. For 1 particle per face to work properly though you need to have as much or more particles as faces. Your emitter is pretty dense. I would suggest to lower the face number. Maybe try to make stem from 16 verts circle. I would also suggest to change Initial Orientation setting to Normal instead of Normal-Tangent to avoid different rotation on different rows of faces. Then play with size and rotation of particles until you get satisfactory result.Here is your file with the changes I mentioned.I think it's a good start for further experimentation: